JPH11242434A - 楕円曲線暗号実行方法及び暗号処理システム - Google Patents

楕円曲線暗号実行方法及び暗号処理システム

Info

Publication number
JPH11242434A
JPH11242434A JP10044851A JP4485198A JPH11242434A JP H11242434 A JPH11242434 A JP H11242434A JP 10044851 A JP10044851 A JP 10044851A JP 4485198 A JP4485198 A JP 4485198A JP H11242434 A JPH11242434 A JP H11242434A
Authority
JP
Japan
Prior art keywords
elliptic curve
speed
prime
order
point
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
JP10044851A
Other languages
English (en)
Japanese (ja)
Inventor
Hiroyuki Kurumaya
博之 車谷
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Hitachi Ltd
Original Assignee
Hitachi Ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Hitachi Ltd filed Critical Hitachi Ltd
Priority to JP10044851A priority Critical patent/JPH11242434A/ja
Priority to EP99103480A priority patent/EP0952697B1/fr
Priority to DE69924912T priority patent/DE69924912T2/de
Priority to US09/255,858 priority patent/US6480606B1/en
Publication of JPH11242434A publication Critical patent/JPH11242434A/ja
Pending legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/724—Finite field arithmetic
    • G06F7/725—Finite field arithmetic over elliptic curves
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L9/00—Cryptographic mechanisms or cryptographic arrangements for secret or secure communications; Network security protocols
    • H04L9/30—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy
    • H04L9/3066—Public key, i.e. encryption algorithm being computationally infeasible to invert or user's encryption keys not requiring secrecy involving algebraic varieties, e.g. elliptic or hyper-elliptic curves
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F7/00—Methods or arrangements for processing data by operating upon the order or content of the data handled
    • G06F7/60—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers
    • G06F7/72—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic
    • G06F7/728—Methods or arrangements for performing computations using a digital non-denominational number representation, i.e. number representation without radix; Computing devices using combinations of denominational and non-denominational quantity representations, e.g. using difunction pulse trains, STEELE computers, phase computers using residue arithmetic using Montgomery reduction

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Computing Systems (AREA)
  • Computational Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Complex Calculations (AREA)
JP10044851A 1998-02-26 1998-02-26 楕円曲線暗号実行方法及び暗号処理システム Pending JPH11242434A (ja)

Priority Applications (4)

Application Number Priority Date Filing Date Title
JP10044851A JPH11242434A (ja) 1998-02-26 1998-02-26 楕円曲線暗号実行方法及び暗号処理システム
EP99103480A EP0952697B1 (fr) 1998-02-26 1999-02-23 Procédé et système de chiffrage utilisant une courbe elliptique
DE69924912T DE69924912T2 (de) 1998-02-26 1999-02-23 Verschlüsselungsverfahren und Vorrichtung unter Verwendung einer elliptischen Kurve
US09/255,858 US6480606B1 (en) 1998-02-26 1999-02-23 Elliptic curve encryption method and system

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP10044851A JPH11242434A (ja) 1998-02-26 1998-02-26 楕円曲線暗号実行方法及び暗号処理システム

Publications (1)

Publication Number Publication Date
JPH11242434A true JPH11242434A (ja) 1999-09-07

Family

ID=12702992

Family Applications (1)

Application Number Title Priority Date Filing Date
JP10044851A Pending JPH11242434A (ja) 1998-02-26 1998-02-26 楕円曲線暗号実行方法及び暗号処理システム

Country Status (4)

Country Link
US (1) US6480606B1 (fr)
EP (1) EP0952697B1 (fr)
JP (1) JPH11242434A (fr)
DE (1) DE69924912T2 (fr)

Families Citing this family (16)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US7200225B1 (en) * 1999-11-12 2007-04-03 Richard Schroeppel Elliptic curve point ambiguity resolution apparatus and method
JP4284867B2 (ja) * 2001-01-18 2009-06-24 株式会社日立製作所 標準モデル上で適応的選択暗号文攻撃に対して安全な公開鍵暗号方法
JP3820909B2 (ja) * 2001-04-24 2006-09-13 ソニー株式会社 楕円曲線暗号処理方法および楕円曲線暗号処理装置、並びにプログラム
FR2828779B1 (fr) * 2001-08-17 2004-01-16 Gemplus Card Int Procede de calcul universel applique a des points d'une courbe elliptique
CA2369537C (fr) * 2001-12-31 2013-07-23 Blackberry Limited Methode et dispositif permettant d'effectuer des calculs dans le corps fini
JP4034585B2 (ja) * 2002-01-28 2008-01-16 松下電器産業株式会社 楕円曲線演算装置及び楕円曲線演算方法
EP1668818A2 (fr) * 2003-10-03 2006-06-14 Matsushita Electric Industrial Co., Ltd. Systeme de transfert d'information, dispositif de chiffrement et dispositif de dechiffrement
WO2007080633A1 (fr) * 2006-01-11 2007-07-19 Mitsubishi Denki Kabushiki Kaisha Dispositif de generation du parametre de cryptage d’une courbe elliptique, dispositif de calcul du cryptage d’une courbe elliptique, programme de generation du parametre de cryptage d’une courbe elliptique et programme de calcul du cryptage d’une courbe elliptique
US7991162B2 (en) * 2007-09-14 2011-08-02 University Of Ottawa Accelerating scalar multiplication on elliptic curve cryptosystems over prime fields
EP2208165A4 (fr) * 2007-11-02 2010-11-24 Certicom Corp Arithmétique de montgomery signée
US10148285B1 (en) 2012-07-25 2018-12-04 Erich Schmitt Abstraction and de-abstraction of a digital data stream
US10795858B1 (en) 2014-02-18 2020-10-06 Erich Schmitt Universal abstraction and de-abstraction of a digital data stream
US9645794B2 (en) * 2014-09-23 2017-05-09 Texas Instruments Incorporated Homogeneous atomic pattern for double, add, and subtract operations for digital authentication using elliptic curve cryptography
US9531531B2 (en) * 2015-05-06 2016-12-27 Qualcomm Incorporated Methods and devices for fixed execution flow multiplier recoding and scalar multiplication
US11146397B2 (en) * 2017-10-31 2021-10-12 Micro Focus Llc Encoding abelian variety-based ciphertext with metadata
CN117423470B (zh) * 2023-10-30 2024-04-23 盐城市第三人民医院 一种慢性病临床决策支持系统及构建方法

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6307935B1 (en) * 1991-09-17 2001-10-23 Apple Computer, Inc. Method and apparatus for fast elliptic encryption with direct embedding
US5271061A (en) * 1991-09-17 1993-12-14 Next Computer, Inc. Method and apparatus for public key exchange in a cryptographic system
US5442707A (en) * 1992-09-28 1995-08-15 Matsushita Electric Industrial Co., Ltd. Method for generating and verifying electronic signatures and privacy communication using elliptic curves
JPH0756506A (ja) * 1993-08-11 1995-03-03 Nippon Telegr & Teleph Corp <Ntt> 楕円曲線に基づく暗号の鍵生成装置
US6088453A (en) * 1997-01-27 2000-07-11 Kabushiki Kaisha Toshiba Scheme for computing Montgomery division and Montgomery inverse realizing fast implementation

Also Published As

Publication number Publication date
EP0952697B1 (fr) 2005-04-27
DE69924912D1 (de) 2005-06-02
EP0952697A3 (fr) 2003-05-14
EP0952697A2 (fr) 1999-10-27
DE69924912T2 (de) 2006-03-30
US6480606B1 (en) 2002-11-12

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